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Another common way to write the Green function relation is (Equation Presented) where P(r′) = -iωJ(r′). The dipole moment p(r′) of the source is related to the polarization per unit volume P(r′) by (Equation Presented) We use the notation of individual dipoles because we have been modeling radiation from individual molecules.
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The assumption of a uniform permeability is valid for the problems we want to model, which are at optical frequencies.
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